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26e1sp07 - MATH 26 EXAM I FORM A SPRING 2007 1 Find the...

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Unformatted text preview: MATH 26 EXAM I, FORM A SPRING 2007' 1. Find the remaining sides of a 30° — 60° — 90° triangle if the longest 6. II (7:506 = 7 and C050 is negative. find cot 9. side is 10. a) cotliI = 7V5 a) (“h/g b) cot9:4~fi b) 2‘ gfl c) cot 6' = 4J5 C) 9f d) c0tl9 : —4\/§ d) 5‘ (ix/5 cot 9 = —4\/§ e.) 3.3% 7. Simplify csc 6 — cot 0 cos 0. 2. Find the distance between the points (0. 15) and (8.0). a.) tan 0 a) 19 b) sin 9 b) 2] is) (:05 0 C) 18 d) 2 cos (9 d) 17 2 sin 6 9) I4 8. SimpliFy (cosa +Sin01)2 — 1. :5. In which quadrant must the terminal side of 6 lie if sin 9 and taut? 2 are to have the same Sign? a") " mt 0‘ b) —2 COS asin a a) I. and IV c) “€082 a b II ) and HI (I) 2 cos a sin n. I Cl 11 C) an 6) C082 on (I) III 9) III and IV 9. If the right triangle ABC has C : 90°,a = 5 and b : v11, find cos A. 4. I'lnd y 1fthe pmnt (7,1,!) IS on the terminal Slde of I9 and cost) : —. m 25 a) (:05 A : — 6 a) cu =19 .- b) COSA : 2 b) y = 1:17 6 C) y=i24 c) cos/I: :1 d (I) y : 23 3 d) cosA = —— e) y : ilO J11 ) r A 1 C 105 ‘; — 15 V II 5. Find sect) if tan 9 : E and 6‘ terminates in the third quadrant. 10. Use the Cnfunction Theorem to find the value of y so that the ex- ?” 3e '9 8 pression sin x = cos y becomes a true statement. . c = 7*- 17 b) sect? = —E a) = 180° — 1- 8 8 b) y 2 180° + :1" C) seca:fi C) y=45°+m d) sec6=—£ d) y:360°—.r. 15 17 e) 1?} : 90° e as e) sec 3 = E MATH 26 EXAM 1, FORM A SPRING 2007 11. in a right triangle ABC with C‘ : 90°, A = 28°, and c = 25 find a. .15. Find the radian measure of angle 8, if 9 is a central angle in a circle of radius 'r' : 2 inches, and 8 cuts oil" an arc of length .9 = 6 inches. a) r). : 25 (:05 28° a) 3 b) a. = 25 sin 28° 1)) 4 c) a : 28 sin 25° 25 C) 5 d) a = 2—8 d) 6 0) CL 2 25 tan 28° 2 12. An equilateral triangle (one with all sides the same length) has an 16 Name the reference angle for 6 = 100D in both degrees and radians. altitude of 4 inches. Find the length of the sides. 7r a.) 720° 0r ‘— a) iii/3 inches 9 it b) 8W5 inches b) 730° or —E . _ 71' c) Sfl inches c) 600 or E d) 8 inches d} 20° or 16 3 e) inches 6) 30° or g 1.. F" dth - f.. 210°. . 1 '3 m 9 exam Mine 0 we 17. Find all values 01 0 between 0 and 2w for which sine : w a) -2 7r llrr a.) —. — Qfi b) 5?? 7T ' b) 3' F J3 C) ‘— 571' A c) — 6 Ci) —i§- d) 51 f. 3 G ‘5 P) —E 77r llrr s e) F’ T 14- Find 6’ if 00 < 0 < 3600 and Sing = __\é§ and 6 is in the third 18. Find the algebraic expression that is equal to est-5+ sin(—6}. qumilrant. a) tan2 (5 a) 250° b) 1 b) 2400 coscl sin2 6 C) 2250 C) (3056 «1) 245° d) _1 ) 210G Sluts E‘ . e) (2052 6 sin6 MATH 26 EXAM I, FORM A SPRING 2007 19. Let 6 be a cmltral angle that cuts off an arc. of length 5. Find the 1r radius of the circle il' 6' = 100‘ s = E m. a) 8 m b) 9.25 m c) 10 111 d) 7 m e) 9 m 20. Find the distancv .9 covered by a point moving with linear velocity v = 18 miles per hour for a time t : 30 minutes. a) 8 miles b) 11 miles: C) 18 miles d) 6 miles 9) 9 miles 02/23/07 MATH 026 l — EXl ITEM NO. FORM: A l D 2 D 3 A 4 C 5 B 6 E 7 B 8 D 9 A 10 E 11 B 12 C 13 E 14 B 15 A 16 D 17 D 18 E 19 E 20 E ...
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